SOLUTION: solve for x: 2^(x-1) = 3^(2x+1) Answer is: Log2+log3/log2-2log3 = -1.191 Please help to arrive at answer. Thank you! Tiffany

Question 972068: solve for x: 2^(x-1) = 3^(2x+1) Answer is: Log2+log3/log2-2log3 = -1.191
Please help to arrive at answer.
Thank you!
Tiffany
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Apply logs to both sides (to isolate exponents)

Use rule 3 (from this link)

Distribute

Add to both sides.

Subtract from both sides.

Factor out the GCF x

Divide both sides by to isolate x.

Rearrange terms. This is the exact answer in terms of logs.

Use a calculator to get the approximate answer

Round to 3 decimal places (again this is approximate)
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